1.prove that

Tan x +sec x /sec x(1+tan x/sec x) = 1

2. Prove that √(1-sin x/1+sin x) =sec x - tan x

sec x(1+tan x/sec x) = secx + tanx

so, ...

(1-sinx)/(1+sinx) * (1-sinx)/(1-sinx) = (1-sinx)^2/(1 - sin^2x)
see what you can do with that